Non-linear, High Frequency Sound Waves
- 1 June 1966
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 2 (2) , 133-143
- https://doi.org/10.1093/imamat/2.2.133
Abstract
The theory of relatively undistorted waves (Varley & Cumberbatch, 1966) is used to discuss finite amplitude, radially symmetric, isentropic waves in fluids. A simple asymptotic expansion which generalizes that used in the linear theory of geometrical acoustics to take into account non-linear phenomena is given. The first and second terms in this expansion are calculated. The first term agrees with a hypothesis of Whitham (1956). The theory is used to discuss the flow produced by a pulsating sphere.Keywords
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